Simplify:
76.3 – 7.666 - 6.77

Answer

To simplify the expression \( 76.3 - 7.666 - 6.77 \), we will follow these steps:

### Step 1: Rewrite the numbers with the same number of decimal places
To make it easier to subtract, we can rewrite the numbers so they all have the same number of decimal places. We can express \( 76.3 \) as \( 76.300 \) (adding two zeros), \( 7.666 \) remains the same, and \( 6.77 \) can be rewritten as \( 6.770 \).

So, the expression becomes:
\[ 76.300 - 7.666 - 6.770 \]

### Step 2: Subtract the first two numbers
Now, we will subtract the first two numbers:
\[ 76.300 - 7.666 \]

To perform the subtraction:
```
76.300
- 7.666
__________
68.634
```

### Step 3: Subtract the result from the third number
Next, we will subtract \( 6.770 \) from \( 68.634 \):
\[ 68.634 - 6.770 \]

Performing this subtraction:
```
68.634
- 6.770
__________
61.864
```

### Final Answer
Thus, the simplified result of \( 76.3 - 7.666 - 6.77 \) is:
\[ \boxed{61.864} \]